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Finding the Fourth Proportional to 5,224.78, 7,834.09 and 3,470.74

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Solution

The fourth proportional to 5,224.78, 7,834.09 and 3,470.74 is: 5,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.78 : 7,834.09 = 3,470.74 : x
  2. Step 2: Convert to fraction form
    5,224.78/7,834.09 = 3,470.74/x
  3. Step 3: Cross multiply
    5,224.78x = 7,834.09 × 3,470.74
  4. Step 4: Simplify right side
    5,224.78x = 27,190,089.53
  5. Step 5: Solve for x
    x = 27,190,089.53/5,224.78
  6. Step 6: Final answer
    x = 5,204.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.